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the effect of carbon content of the mechanical properties - McMaster ...

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M.A.Sc. Thesis – E. E. Yang <strong>McMaster</strong> – Materials Science & Engineering<br />

true stress (MPa)<br />

800<br />

700<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

4.4 Fracture Analysis<br />

0<br />

Unloading Loop at 20%<br />

Elastic Unloading Line (no <strong>of</strong>fset)<br />

Elastic Unloading Line (0.01% <strong>of</strong>fset)<br />

0.192 0.194 0.196<br />

true strain<br />

0.198 0.200<br />

Figure 4.3 Bauschinger Unloading Loop Behaviour<br />

(4.3)<br />

Fracture analysis was performed to gain a better understanding <strong>of</strong> <strong>the</strong> <strong>effect</strong> <strong>of</strong> <strong>the</strong><br />

damage processes and fracture modes as a function <strong>of</strong> alloy composition. The fracture<br />

surface was viewed under <strong>the</strong> SEM. The dimensions <strong>of</strong> <strong>the</strong> fracture surface were also<br />

measured using both OM and SEM in order to calculate an approximate fracture stress<br />

and strain. A sample fracture surface is seen in Figure 4.4 with <strong>the</strong> area calculated using<br />

North Eclipse v. 6.0 imaging s<strong>of</strong>tware. By taking <strong>the</strong> initial area (A0) and calculating <strong>the</strong><br />

final area (Af), with <strong>the</strong> load at fracture (Lf), a true fracture strain (εf) and true fracture<br />

stress (σf) can be calculated from Equation 4.4 and Equation 4.5.<br />

R<br />

F<br />

40

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